Seminar Details
2019-12-17 (14:00) : Nonlinear matrix recovery
At Euler building (room A.002)
Organized by Mathematical Engineering
Speaker :
Florentin Goyens (Alan Turing Institute and University of Oxford, UK)
Abstract :
In this talk we investigate the recovery of a partially observed high-rank matrix whose columns obey a nonlinear structure. The structures we cover include points grouped as clusters or belonging to an algebraic variety, such as a union of subspaces. Using a mapping to a space of features, we reduce the problem to a constrained non-convex optimization formulation, which we solve using Riemannian optimization methods. We also show how the same tools allow to align point clouds that belong to the same algebraic variety (point set registration).